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Finding the Third Proportional to 535,566 and 829,800

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Solution

The third proportional to 535,566 and 829,800 is: 1,285,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,566 : 829,800 = 829,800 : x
  2. Step 2: Convert to fraction form
    535,566/829,800 = 829,800/x
  3. Step 3: Cross multiply
    535,566x = 829,800 × 829,800
  4. Step 4: Simplify right side
    535,566x = 688,568,040,000
  5. Step 5: Solve for x
    x = 688,568,040,000/535,566
  6. Step 6: Final answer
    x = 1,285,682.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.